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Finding the Fourth Proportional to 10,455.75, 15,740.68 and 9,537.21

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Solution

The fourth proportional to 10,455.75, 15,740.68 and 9,537.21 is: 14,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.75 : 15,740.68 = 9,537.21 : x
  2. Step 2: Convert to fraction form
    10,455.75/15,740.68 = 9,537.21/x
  3. Step 3: Cross multiply
    10,455.75x = 15,740.68 × 9,537.21
  4. Step 4: Simplify right side
    10,455.75x = 150,122,170.70
  5. Step 5: Solve for x
    x = 150,122,170.70/10,455.75
  6. Step 6: Final answer
    x = 14,357.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.